Newton polygons of Hecke operators

DOI10.1007/s40316-020-00149-zzbMath1477.11082arXiv1912.02909OpenAlexW3093216632MaRDI QIDQ2231548

Andrei Jorza, Liubomir Chiriac

Publication date: 30 September 2021

Published in: Annales Mathématiques du Québec (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.02909

zbMATH Keywords

traces of Hecke operatorsslopes of modular forms

Mathematics Subject Classification ID

Congruences for modular and (p)-adic modular forms (11F33) (p)-adic theory, local fields (11F85) Fourier coefficients of automorphic forms (11F30)

Related Items (1)

The trace of \(T_2\) takes no repeated values

Uses Software

• SageMath

Cites Work

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• Experimental evidence for Maeda's conjecture on modular forms
• A note on lower bounds for Frobenius traces
• Elliptic curves, modular forms, and sums of Hurwitz class numbers
• Eigenvalues of Hecke operators on \(\text{SL}(2, \mathbb Z)\)
• Dimension variation of classical and \(p\)-adic modular forms
• Irreducibility of Hecke polynomials
• The eigencurve over the boundary of weight space
• The number of subspaces occurring in the p-adic subspace theorem in diophantine approximation.
• Slopes of overconvergent 2-adic modular forms
• Comparing Hecke coefficients of automorphic representations
• Slopes of Modular Forms and the Ghost Conjecture
• Computing overconvergent forms for small primes

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